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- Question
If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?
Options- A. k/2
- B. 2k
- C. (k ? 1)/2
- D. (k + 1)/2
- Correct Answer
- (k ? 1)/2
- 1. The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 540. What is the banker's discount?
Options- A. 1240
- B. 1120
- C. 1190
- D. 1290 Discuss
- 2. What will be remainder when (6767 + 67) is divided by 68?
Options- A. 1
- B. 63
- C. 66
- D. 67 Discuss
- 3. If a 2 + 1 = a, then the value of a 12 + a 6 + 1 is?
Options- A. 2
- B. 3
- C. -3
- D. 1 Discuss
- 4. A man had 170 currency notes in all, some of which were of ? 100 denominations and some of ? 50 denominations. The total amount of all these currency notes was ? 10000. How much amount did he have in the denominations of ? 50?
Options- A. ? 4000
- B. ? 9000
- C. ? 7000
- D. ? 6000 Discuss
- 5. The banker's discount on a sum of money for 3 years is Rs. 1116. The true discount on the same sum for 4 years is Rs. 1200. What is the rate percent?
Options- A. 8%
- B. 12%
- C. 10%
- D. 6% Discuss
- 6.
9 + 3 + 7 + 2 - ❨ 9 + 1 ❩ =? 4 17 15
Options- A. 7+719⁄1020
- B. 9+817⁄1020
- C. 9+719⁄1020
- D. 7+817⁄1020
- E. None of these Discuss
- 7. If a, b and c are non-zero, a + 1/b = 1 and b + 1/c = 1, then the value of abc is?
Options- A. -3
- B. 1
- C. -1
- D. 3 Discuss
- 8. Mr. Sahni employed a worker for a certain work to be done in some days. He pays ?20 to the worker for each working day and the payment is reduced by ? 3 for each non-working day of the worker. For how many days the worker does remain absent from work if at the end of 120 days, he gets ? 560 as total remuneration?
Options- A. 80
- B. 60
- C. 70
- D. 40 Discuss
- 9. In a Km race A beats B by 25 m or 5 sec. Then find out the time taken by A to complete the race.
Options- A. 3 minutes 15 seconds
- B. 4 minutes 20 seconds
- C. 2 minutes 30 seconds
- D. 5 minutes 10 seconds Discuss
- 10. 3897 x 999 =?
Options- A. 3883203
- B. 3893103
- C. 3639403
- D. 3791203
- E. None of these Discuss
More questions
Correct Answer: 1290
Explanation:
Correct Answer: 66
Explanation:
( x n + 1) will be divisible by ( x + 1) only when n is odd.
∴(6767 + 1) will be divisible by (67 + 1)
∴(6767 + 1) + 66, when divided by 68 will give 66 as remainder.
Correct Answer: 3
Explanation:
a2 + 1 = a
? a + 1/a = 1
On squaring both sides, we get
a2 + 1/a2 + 2 = 1
On cubing both sides, we get
(a2 + 1/a2)3 = (-1)3
? a6 + 1/a6 + 3a2 x 1/a2 (a2 + 1/a2) = -1
? a6 + 1/a6 + 3 x (-1) = -1
Now, a6 + 1/a6 + 1 = 3
As, a12 + a6 + 1 can be written as a6 + 1/a6 + 1
? a12 + a6 + 1 = 3
Correct Answer: ? 7000
Explanation:
Solution 1 :
Let the number of ? 50 notes = x, then the number of ? 100 notes = (170 - x)
According to question.
50x + 100(170 - x) = 10000
divide by 50 the above equation, we will get
? x + 2(170 - x) = 200
? x + 340 - 2x = 200
? -x = 200 - 340 = -140
? x = 140
? Required amount ? 50 x 140
= ? 7000
Solution 2 :
Let the number of ? 50 notes = x and the number of ? 100 notes = y.
according to given question,
x + y = 170 .............(1)
50x + 100y = 10000............(2)
Divide the equation (2) by 10 , we will get
5x + 17y = 1000............(3)
Multiply the equation (1) by 5
5x + 5y = 850 ------------(4)
Subtract the (4) equation from (3) equation, we will get,
5x +10y - ( 5x + 5y ) = 1000 - 850
? 5x +10y - 5x - 5y = 1000 - 850
? 10y - 5y = 1000 - 850
? 5y = 150
? y = 150/5
? y = 30
Number of ? 100 notes = y = 30;
since x + Y = 170
therefore x = 170 - y
? x = 170 - 30
? x = 140
Number of ? 50 notes = x = 140
Correct Answer: 6%
Explanation:
Correct Answer: 7+817⁄1020
Explanation:
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Correct Answer: -1
Explanation:
? a + 1/b = 1
ab + 1 = b ...(i)
Also, b + 1/c = 1
? b = 1 - 1/c ...(ii)
From Eqs. (i) and (ii), we get
ab + a = 1 - 1/c
? ab = -1/c
? abc = -1
Correct Answer: 80
Explanation:
Let the worker remains absent for x days.
Then, his working days = (120 - x) days.
According to the question,
20 x Working day - 3 x Absent day = 560
20(120 - x) - 3x = 560
? 2400 - 20x - 3x = 560
? x = 2400 - 560/23 = 1840/23
= 80 days
Correct Answer: 3 minutes 15 seconds
Explanation:
B runs 25 m in 5 seconds.
? B's time to cover 1 Km = 5 x 100 / 25 = 200 sec
A's time to cover one Km = 200 - 5 = 195 seconds
= 3 minutes 15 seconds.
Correct Answer: 3893103
Explanation:
| 3897 x 999 | = 3897 x (1000 - 1) |
| = 3897 x 1000 - 3897 x 1 | |
| = 3897000 - 3897 | |
| = 3893103. |
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